ADD AND SUBTRACT FRACTIONS WORKSHEET

1. Add 3/4  and 1/4.

2. Find the value of : 7/15 + 13/15 + 11/15.

3. Subtract 3/21 from 10/21.

4. Find the value of : 5/28 + 3/28 - 1/28.

5. Add 1/12 and 3/18.

6. Subtract 7/20 from 5/16.

7. Find the value of : 3/4 + 5/6 + 1/9.

8. Find the value of : 1/15 - 7/10 + 3/20.

1. Answer :

3/4 + 1/4

The fractions above have the same denominator, that is 4.

So, take the denominator once and combine the numerators.

3/4 + 1/4 = (3 + 1)/4

= 4/4

= 1

2. Answer :

7/15 + 13/15 + 11/15

The fractions above have the same denominator, that is 15.

So, take the denominator once and simplify the numerators.

7/15 + 13/15 + 11/15 = (7 + 13 + 11)/15

= 31/15

3. Answer :

10/21 - 3/21

The fractions above have the same denominator, that is 21.

So, take the denominator once and simplify the numerators.

10/21 - 3/21 = (10 - 3)/21

= 7/21

= 1/3

4. Answer :

5/28 + 3/28 - 1/28

The fractions above have the same denominator, that is 28.

So, take the denominator once and simplify the numerators.

5/28 + 3/28 - 1/28 = (5 + 3 - 1)/28

= 7/28

= 1/4

5. Answer :

1/12 + 3/18

The fractions above have different denominators.

Find the least common multiple of the denominators.

Least common multiple of (12, 18) = 36.

Now, make the denominator of each fraction 36 using multiplication.

1/12 = (1 ⋅ 3)/(12 ⋅ 3) = 3/36

3/18 = (3 ⋅ 2)/(18 ⋅ 2) = 6/36

1/12 + 3/18 :

= 3/36 + 6/36

= (3 + 6)/36

= 9/36

= 1/4

6. Answer :

5/16 - 7/20

The fractions above have different denominators.

Find the least common multiple of the denominators.

Least common multiple of (16, 20) = 80.

Now, make the denominator of each fraction as 80 using multiplication.

5/16 = (5 ⋅ 5)/(16 ⋅ 5) = 25/80

7/20 = (7 ⋅ 4)/(20 ⋅ 4) = 28/80

5/16 - 7/20 :

= 25/80 - 28/80

= (25 - 28)/80

= -3/80

7. Answer :

3/4 + 5/6 + 1/9

The fractions above have different denominators.

Find the least common multiple of the denominators.

Least common multiple of (4, 6, 9) = 36.

Now, make the denominator of each fraction as 36 using multiplication.

3/4 = (3 ⋅ 9)/(4 ⋅ 9) = 27/36

5/6 = (5 ⋅ 6)/(6 ⋅ 6) = 30/36

1/9 = (1 ⋅ 4)/(9 ⋅ 4) = 4/36

3/4 + 5/6 + 1/9 :

= 27/36 + 30/36 + 4/36

= (27 + 30 + 4)/36

= 61/36

8. Answer :

1/15 - 7/10 + 3/20

The fractions above have different denominators.

Find the least common multiple of the denominators.

Least common multiple of (15, 10, 20) = 60.

Now, make the denominator of each fraction as 60 using multiplication.

1/15 = (1 ⋅ 4)/(4 ⋅ 15) = 4/60

7/10 = (7 ⋅ 6)/(10 ⋅ 6) = 42/60

3/20 = (3 ⋅ 3)/(20 ⋅ 3) = 9/60

1/15 - 7/10 + 3/20 :

= 4/60 + 42/60 + 9/60

= (4 + 42 + 9)/60

= 55/60

= 11/12

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